Graduate Algebraic Geometry Seminar
Cesar Lozano Huerta
UIC
Geometric Invariant Theory through examples II
Abstract: We will start constructing moduli spaces as GIT quotients. However, instead of going straight to the general case of the moduli space of Riemann Surfaces of genus g $M_g$, we will take a closer look at genus 2, 3 and 4. First, in constructing these spaces, by performing a "naive" GIT quotient, we will get a "wrong" space, it wont be $M_g$ itself, but which turns out to be a birrational model for $M_g$.
This gives us an example of the birrational geometry of $M_g$ and points out a subtle ingredient of Mumford's construction of $M_g$ as a GIT quotient.
Thursday February 10, 2011 at 3:30 PM in SEO 712